3 papers
math.SG2020
Action-angle coordinates on coadjoint orbits and multiplicity free spaces from partial tropicalization
Anton Alekseev, Benjamin Hoffman, Jeremy Lane +1
Coadjoint orbits and multiplicity free spaces of compact Lie groups are important examples of symplectic manifolds with Hamiltonian groups actions. Constructing action-angle variab…
math.RT2019
Geometric Multiplicities
Arkady Berenstein, Yanpeng Li
In this paper, we introduce geometric multiplicities, which are positive varieties with potential fibered over the Cartan subgroup of a reductive group . They form a monoida…
math.RT2018
Langlands Duality and Poisson-Lie Duality via Cluster Theory and Tropicalization
Anton Alekseev, Arkady Berenstein, Benjamin Hoffman +1
Let be a connected semisimple Lie group. There are two natural duality constructions that assign to it the Langlands dual group and the Poisson-Lie dual group . T…